If the vectors $(2 \hat{\imath}-q \hat{\jmath}+3 \hat{k})$ and $(4 \hat{\imath}-5 \hat{\jmath}+6 \hat{k})$…
If the vectors $(2 \hat{\imath}-q \hat{\jmath}+3 \hat{k})$ and $(4 \hat{\imath}-5 \hat{\jmath}+6 \hat{k})$ are collinear, then the value
of $q$ is
- $\frac{5}{2}$
- $\frac{-5}{2}$
- $\frac{-2}{5}$
- $\frac{2}{5}$
Solution
Given vector are collinear
$\begin{array}{l}
\therefore \frac{2}{4}=\frac{-q}{-5}=\frac{3}{6} \\
\therefore q=\frac{5}{2}
\end{array}$
Asked in: MHT CET 2020 (14 Oct Shift 1)
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